TSTP Solution File: MGT055-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : MGT055-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:23:09 EDT 2022
% Result : Unsatisfiable 0.71s 1.02s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT055-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 10:52:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.97 ============================== Prover9 ===============================
% 0.42/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.97 Process 837 was started by sandbox on n019.cluster.edu,
% 0.42/0.97 Thu Jun 9 10:52:40 2022
% 0.42/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_673_n019.cluster.edu".
% 0.42/0.97 ============================== end of head ===========================
% 0.42/0.97
% 0.42/0.97 ============================== INPUT =================================
% 0.42/0.97
% 0.42/0.97 % Reading from file /tmp/Prover9_673_n019.cluster.edu
% 0.42/0.97
% 0.42/0.97 set(prolog_style_variables).
% 0.42/0.97 set(auto2).
% 0.42/0.97 % set(auto2) -> set(auto).
% 0.42/0.97 % set(auto) -> set(auto_inference).
% 0.42/0.97 % set(auto) -> set(auto_setup).
% 0.42/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.42/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.97 % set(auto) -> set(auto_limits).
% 0.42/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.97 % set(auto) -> set(auto_denials).
% 0.42/0.97 % set(auto) -> set(auto_process).
% 0.42/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.42/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.42/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.42/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.42/0.97 % set(auto2) -> assign(stats, some).
% 0.42/0.97 % set(auto2) -> clear(echo_input).
% 0.42/0.97 % set(auto2) -> set(quiet).
% 0.42/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.97 % set(auto2) -> clear(print_given).
% 0.42/0.97 assign(lrs_ticks,-1).
% 0.42/0.97 assign(sos_limit,10000).
% 0.42/0.97 assign(order,kbo).
% 0.42/0.97 set(lex_order_vars).
% 0.42/0.97 clear(print_given).
% 0.42/0.97
% 0.42/0.97 % formulas(sos). % not echoed (42 formulas)
% 0.42/0.97
% 0.42/0.97 ============================== end of input ==========================
% 0.42/0.97
% 0.42/0.97 % From the command line: assign(max_seconds, 300).
% 0.42/0.97
% 0.42/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.97
% 0.42/0.97 % Formulas that are not ordinary clauses:
% 0.42/0.97
% 0.42/0.97 ============================== end of process non-clausal formulas ===
% 0.42/0.97
% 0.42/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.97
% 0.42/0.97 ============================== PREDICATE ELIMINATION =================
% 0.42/0.97 1 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13_54) # label(axiom). [assumption].
% 0.42/0.97 2 organization(sk2) # label(lemma_8_59) # label(negated_conjecture). [assumption].
% 0.42/0.97 3 -has_endowment(A) | organization(A) # label(definition_1_38) # label(axiom). [assumption].
% 0.42/0.97 4 -dissimilar(A,B,C) | organization(A) # label(definition_2_47) # label(axiom). [assumption].
% 0.42/0.97 Derived: age(sk2,A) != zero | is_aligned(sk2,A). [resolve(1,a,2,a)].
% 0.42/0.97 Derived: age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(1,a,3,b)].
% 0.42/0.97 Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D). [resolve(1,a,4,b)].
% 0.42/0.97 5 -organization(A) | -has_immunity(A,sk1(A)) | has_immunity(A,sk1(A)) | has_endowment(A) # label(definition_1_44) # label(axiom). [assumption].
% 0.42/0.97 6 -organization(A) | -is_aligned(A,B) | is_aligned(A,B) | dissimilar(A,B,C) # label(definition_2_50) # label(axiom). [assumption].
% 0.42/0.97 7 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2_51) # label(axiom). [assumption].
% 0.42/0.97 Derived: -is_aligned(sk2,A) | is_aligned(sk2,B) | dissimilar(sk2,A,B). [resolve(7,a,2,a)].
% 0.42/0.97 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(7,a,3,b)].
% 0.42/0.97 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(7,a,4,b)].
% 0.42/0.97 8 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,C,B) # label(definition_2_52) # label(axiom). [assumption].
% 0.42/0.97 Derived: -is_aligned(sk2,A) | is_aligned(sk2,B) | dissimilar(sk2,B,A). [resolve(8,a,2,a)].
% 0.42/0.97 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,C,B) | -has_endowment(A). [resolve(8,a,3,b)].
% 0.42/0.97 Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,C,B) | -dissimilar(A,D,E). [resolve(8,a,4,b)].
% 0.42/0.98 9 -organization(A) | -is_aligned(A,B) | is_aligned(A,B) | dissimilar(A,C,B) # label(definition_2_53) # label(axiom). [assumption].
% 0.42/0.98 10 -organization(A) | smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | has_endowment(A) # label(definition_1_42) # label(axiom). [assumption].
% 0.42/0.98 Derived: smaller_or_equal(age(sk2,sk1(sk2)),eta) | has_immunity(sk2,sk1(sk2)) | has_endowment(sk2). [resolve(10,a,2,a)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | has_endowment(A) | -dissimilar(A,B,C). [resolve(10,a,4,b)].
% 0.42/0.98 11 -organization(A) | -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | has_endowment(A) # label(definition_1_43) # label(axiom). [assumption].
% 0.42/0.98 Derived: -has_immunity(sk2,sk1(sk2)) | greater(age(sk2,sk1(sk2)),eta) | has_endowment(sk2). [resolve(11,a,2,a)].
% 0.42/0.98 Derived: -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | has_endowment(A) | -dissimilar(A,B,C). [resolve(11,a,4,b)].
% 0.42/0.98 12 -organization(A) | -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_2_45) # label(axiom). [assumption].
% 0.42/0.98 Derived: -has_immunity(sk2,A) | -has_immunity(sk2,B) | hazard_of_mortality(sk2,A) = hazard_of_mortality(sk2,B). [resolve(12,a,2,a)].
% 0.42/0.98 Derived: -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) | -has_endowment(A). [resolve(12,a,3,b)].
% 0.42/0.98 Derived: -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) | -dissimilar(A,D,E). [resolve(12,a,4,b)].
% 0.42/0.98 13 -organization(A) | -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3_46) # label(axiom). [assumption].
% 0.42/0.98 Derived: -has_immunity(sk2,A) | has_immunity(sk2,B) | greater(hazard_of_mortality(sk2,B),hazard_of_mortality(sk2,A)). [resolve(13,a,2,a)].
% 0.42/0.98 Derived: -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -has_endowment(A). [resolve(13,a,3,b)].
% 0.42/0.98 Derived: -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -dissimilar(A,D,E). [resolve(13,a,4,b)].
% 0.42/0.98 14 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) # label(assumption_14_55) # label(axiom). [assumption].
% 0.42/0.98 Derived: -is_aligned(sk2,A) | is_aligned(sk2,B) | greater(capability(sk2,A),capability(sk2,B)). [resolve(14,a,2,a)].
% 0.42/0.98 Derived: -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) | -has_endowment(A). [resolve(14,a,3,b)].
% 0.42/0.98 Derived: -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) | -dissimilar(A,D,E). [resolve(14,a,4,b)].
% 0.42/0.98 15 -organization(A) | smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | has_endowment(A) # label(definition_1_41) # label(axiom). [assumption].
% 0.42/0.98 Derived: smaller_or_equal(age(sk2,sk1(sk2)),eta) | greater(age(sk2,sk1(sk2)),eta) | has_endowment(sk2). [resolve(15,a,2,a)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | has_endowment(A) | -dissimilar(A,B,C). [resolve(15,a,4,b)].
% 0.42/0.98 16 -organization(A) | age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) # label(assumption_15_56) # label(axiom). [assumption].
% 0.42/0.98 Derived: age(sk2,A) != zero | -greater(age(sk2,B),sigma) | dissimilar(sk2,A,B). [resolve(16,a,2,a)].
% 0.42/0.98 Derived: age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) | -has_endowment(A). [resolve(16,a,3,b)].
% 0.42/0.98 Derived: age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) | -dissimilar(A,D,E). [resolve(16,a,4,b)].
% 0.42/0.98 17 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15_57) # label(axiom). [assumption].
% 0.42/0.98 Derived: age(sk2,A) != zero | -dissimilar(sk2,A,B) | greater(age(sk2,B),sigma). [resolve(17,a,2,a)].
% 0.42/0.98 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(17,a,3,b)].
% 0.42/0.98 Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(17,a,4,b)].
% 0.42/0.98 18 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_16_58) # label(axiom). [assumption].
% 0.42/0.98 Derived: has_immunity(sk2,A) | has_immunity(sk2,B) | -greater(capability(sk2,B),capability(sk2,A)) | greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,B)). [resolve(18,a,2,a)].
% 0.42/0.98 Derived: has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -has_endowment(A). [resolve(18,a,3,b)].
% 0.42/0.98 Derived: has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -dissimilar(A,D,E). [resolve(18,a,4,b)].
% 0.42/0.98 19 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1_40) # label(axiom). [assumption].
% 0.42/0.98 20 has_endowment(sk2) # label(lemma_8_60) # label(negated_conjecture). [assumption].
% 0.42/0.98 Derived: -greater(age(sk2,A),eta) | -has_immunity(sk2,A). [resolve(19,a,20,a)].
% 0.42/0.98 21 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1_39) # label(axiom). [assumption].
% 0.42/0.98 Derived: -smaller_or_equal(age(sk2,A),eta) | has_immunity(sk2,A). [resolve(21,a,20,a)].
% 0.42/0.98 22 age(A,B) != zero | is_aligned(A,B) | -has_endowment(A). [resolve(1,a,3,b)].
% 0.42/0.98 Derived: age(sk2,A) != zero | is_aligned(sk2,A). [resolve(22,c,20,a)].
% 0.42/0.98 23 -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -has_endowment(A). [resolve(7,a,3,b)].
% 0.42/0.98 Derived: -is_aligned(sk2,A) | is_aligned(sk2,B) | dissimilar(sk2,A,B). [resolve(23,d,20,a)].
% 0.42/0.98 24 -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,C,B) | -has_endowment(A). [resolve(8,a,3,b)].
% 0.42/0.98 Derived: -is_aligned(sk2,A) | is_aligned(sk2,B) | dissimilar(sk2,B,A). [resolve(24,d,20,a)].
% 0.42/0.98 25 smaller_or_equal(age(sk2,sk1(sk2)),eta) | has_immunity(sk2,sk1(sk2)) | has_endowment(sk2). [resolve(10,a,2,a)].
% 0.42/0.98 26 smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | has_endowment(A) | -dissimilar(A,B,C). [resolve(10,a,4,b)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | -dissimilar(A,B,C) | -greater(age(A,D),eta) | -has_immunity(A,D). [resolve(26,c,19,a)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | -dissimilar(A,B,C) | -smaller_or_equal(age(A,D),eta) | has_immunity(A,D). [resolve(26,c,21,a)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | -dissimilar(A,B,C) | age(A,D) != zero | is_aligned(A,D). [resolve(26,c,22,c)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,D,E). [resolve(26,c,23,d)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | has_immunity(A,sk1(A)) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,E,D). [resolve(26,c,24,d)].
% 0.42/0.98 27 -has_immunity(sk2,sk1(sk2)) | greater(age(sk2,sk1(sk2)),eta) | has_endowment(sk2). [resolve(11,a,2,a)].
% 0.42/0.98 28 -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | has_endowment(A) | -dissimilar(A,B,C). [resolve(11,a,4,b)].
% 0.42/0.98 Derived: -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -greater(age(A,D),eta) | -has_immunity(A,D). [resolve(28,c,19,a)].
% 0.42/0.98 Derived: -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -smaller_or_equal(age(A,D),eta) | has_immunity(A,D). [resolve(28,c,21,a)].
% 0.42/0.98 Derived: -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | age(A,D) != zero | is_aligned(A,D). [resolve(28,c,22,c)].
% 0.42/0.98 Derived: -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,D,E). [resolve(28,c,23,d)].
% 0.42/0.98 Derived: -has_immunity(A,sk1(A)) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,E,D). [resolve(28,c,24,d)].
% 0.42/0.98 29 -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) | -has_endowment(A). [resolve(12,a,3,b)].
% 0.42/0.98 Derived: -has_immunity(sk2,A) | -has_immunity(sk2,B) | hazard_of_mortality(sk2,A) = hazard_of_mortality(sk2,B). [resolve(29,d,20,a)].
% 0.42/0.98 30 -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -has_endowment(A). [resolve(13,a,3,b)].
% 0.42/0.98 Derived: -has_immunity(sk2,A) | has_immunity(sk2,B) | greater(hazard_of_mortality(sk2,B),hazard_of_mortality(sk2,A)). [resolve(30,d,20,a)].
% 0.42/0.98 31 -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) | -has_endowment(A). [resolve(14,a,3,b)].
% 0.42/0.98 Derived: -is_aligned(sk2,A) | is_aligned(sk2,B) | greater(capability(sk2,A),capability(sk2,B)). [resolve(31,d,20,a)].
% 0.42/0.98 32 smaller_or_equal(age(sk2,sk1(sk2)),eta) | greater(age(sk2,sk1(sk2)),eta) | has_endowment(sk2). [resolve(15,a,2,a)].
% 0.42/0.98 33 smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | has_endowment(A) | -dissimilar(A,B,C). [resolve(15,a,4,b)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -greater(age(A,D),eta) | -has_immunity(A,D). [resolve(33,c,19,a)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -smaller_or_equal(age(A,D),eta) | has_immunity(A,D). [resolve(33,c,21,a)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | age(A,D) != zero | is_aligned(A,D). [resolve(33,c,22,c)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,D,E). [resolve(33,c,23,d)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | dissimilar(A,E,D). [resolve(33,c,24,d)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -has_immunity(A,D) | -has_immunity(A,E) | hazard_of_mortality(A,D) = hazard_of_mortality(A,E). [resolve(33,c,29,d)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -has_immunity(A,D) | has_immunity(A,E) | greater(hazard_of_mortality(A,E),hazard_of_mortality(A,D)). [resolve(33,c,30,d)].
% 0.42/0.98 Derived: smaller_or_equal(age(A,sk1(A)),eta) | greater(age(A,sk1(A)),eta) | -dissimilar(A,B,C) | -is_aligned(A,D) | is_aligned(A,E) | greater(capability(A,D),capability(A,E)). [resolve(33,c,31,d)].
% 0.42/0.98 34 age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) | -has_endowment(A). [resolve(16,a,3,b)].
% 0.42/0.98 Derived: age(sk2,A) != zero | -greater(age(sk2,B),sigma) | dissimilar(sk2,A,B). [resolve(34,d,20,a)].
% 0.42/0.98 35 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -has_endowment(A). [resolve(17,a,3,b)].
% 0.42/0.98 36 has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -has_endowment(A). [resolve(18,a,3,b)].
% 0.42/0.98 Derived: has_immunity(sk2,A) | has_immunity(sk2,B) | -greater(capability(sk2,B),capability(sk2,A)) | greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,B)). [resolve(36,e,20,a)].
% 0.42/0.98 37 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal_2) # label(axiom). [assumption].
% 0.42/0.98 38 smaller(A,B) | A = B | greater(A,B) # label(meaning_postulate_greater_comparable_11) # label(axiom). [assumption].
% 0.42/0.98 Derived: smaller_or_equal(A,B) | A = B | greater(A,B). [resolve(37,a,38,a)].
% 0.42/0.98 39 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom). [assumption].
% 0.42/0.98 Derived: greater(A,B) | B = A | greater(B,A). [resolve(39,a,38,a)].
% 0.42/0.98 40 -greater(A,B) | smaller(B,A) # label(definition_smaller_8) # label(axiom). [assumption].
% 0.42/0.98 Derived: -greater(A,B) | smaller_or_equal(B,A). [resolve(40,b,37,a)].
% 0.42/0.98 41 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom). [assumption].
% 0.42/0.98 Derived: -smaller_or_equal(A,B) | A = B | greater(B,A). [resolve(41,b,39,a)].
% 0.42/0.98 42 -greater_or_equal(A,B) | greater(A,B) | A = B # label(definition_greater_or_equal_4) # label(axiom). [assumption].
% 0.42/0.98 43 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal_5) # label(axiom). [assumption].
% 0.71/1.02 44 A != B | greater_or_equal(A,B) # label(definition_greater_or_equal_6) # label(axiom). [assumption].
% 0.71/1.02
% 0.71/1.02 ============================== end predicate elimination =============
% 0.71/1.02
% 0.71/1.02 Auto_denials: (non-Horn, no changes).
% 0.71/1.02
% 0.71/1.02 Term ordering decisions:
% 0.71/1.02
% 0.71/1.02 % Assigning unary symbol sk1 kb_weight 0 and highest precedence (18).
% 0.71/1.02 Function symbol KB weights: sk2=1. eta=1. zero=1. sigma=1. sk5=1. sk3=1. sk4=1. sk6=1. age=1. hazard_of_mortality=1. capability=1. sk1=0.
% 0.71/1.02
% 0.71/1.02 ============================== end of process initial clauses ========
% 0.71/1.02
% 0.71/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.71/1.02
% 0.71/1.02 ============================== end of clauses for search =============
% 0.71/1.02
% 0.71/1.02 ============================== SEARCH ================================
% 0.71/1.02
% 0.71/1.02 % Starting search at 0.02 seconds.
% 0.71/1.02
% 0.71/1.02 ============================== PROOF =================================
% 0.71/1.02 % SZS status Unsatisfiable
% 0.71/1.02 % SZS output start Refutation
% 0.71/1.02
% 0.71/1.02 % Proof 1 at 0.06 (+ 0.00) seconds.
% 0.71/1.02 % Length of proof is 69.
% 0.71/1.02 % Level of proof is 11.
% 0.71/1.02 % Maximum clause weight is 24.000.
% 0.71/1.02 % Given clauses 160.
% 0.71/1.02
% 0.71/1.02 1 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13_54) # label(axiom). [assumption].
% 0.71/1.02 2 organization(sk2) # label(lemma_8_59) # label(negated_conjecture). [assumption].
% 0.71/1.02 4 -dissimilar(A,B,C) | organization(A) # label(definition_2_47) # label(axiom). [assumption].
% 0.71/1.02 7 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2_51) # label(axiom). [assumption].
% 0.71/1.02 12 -organization(A) | -has_immunity(A,B) | -has_immunity(A,C) | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) # label(assumption_2_45) # label(axiom). [assumption].
% 0.71/1.02 13 -organization(A) | -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3_46) # label(axiom). [assumption].
% 0.71/1.02 14 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) # label(assumption_14_55) # label(axiom). [assumption].
% 0.71/1.02 16 -organization(A) | age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) # label(assumption_15_56) # label(axiom). [assumption].
% 0.71/1.02 17 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15_57) # label(axiom). [assumption].
% 0.71/1.02 18 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_16_58) # label(axiom). [assumption].
% 0.71/1.02 19 -has_endowment(A) | -greater(age(A,B),eta) | -has_immunity(A,B) # label(definition_1_40) # label(axiom). [assumption].
% 0.71/1.02 20 has_endowment(sk2) # label(lemma_8_60) # label(negated_conjecture). [assumption].
% 0.71/1.02 21 -has_endowment(A) | -smaller_or_equal(age(A,B),eta) | has_immunity(A,B) # label(definition_1_39) # label(axiom). [assumption].
% 0.71/1.02 37 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal_2) # label(axiom). [assumption].
% 0.71/1.02 39 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom). [assumption].
% 0.71/1.02 40 -greater(A,B) | smaller(B,A) # label(definition_smaller_8) # label(axiom). [assumption].
% 0.71/1.02 41 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom). [assumption].
% 0.71/1.02 45 greater(sigma,eta) # label(lemma_8_66) # label(negated_conjecture). [assumption].
% 0.71/1.02 46 greater(eta,zero) # label(lemma_8_67) # label(negated_conjecture). [assumption].
% 0.71/1.02 47 age(sk2,sk3) = zero # label(lemma_8_61) # label(negated_conjecture). [assumption].
% 0.71/1.02 48 smaller_or_equal(age(sk2,sk4),eta) # label(lemma_8_62) # label(negated_conjecture). [assumption].
% 0.71/1.02 49 greater(age(sk2,sk5),eta) # label(lemma_8_63) # label(negated_conjecture). [assumption].
% 0.71/1.02 50 smaller_or_equal(age(sk2,sk5),sigma) # label(lemma_8_64) # label(negated_conjecture). [assumption].
% 0.71/1.02 51 greater(age(sk2,sk6),sigma) # label(lemma_8_65) # label(negated_conjecture). [assumption].
% 0.71/1.02 52 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict_9) # label(axiom). [assumption].
% 0.71/1.02 53 -dissimilar(A,B,C) | -is_aligned(A,B) | -is_aligned(A,C) # label(definition_2_49) # label(axiom). [assumption].
% 0.71/1.02 54 -greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) | -greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) # label(lemma_8_68) # label(negated_conjecture). [assumption].
% 0.71/1.02 56 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive_10) # label(axiom). [assumption].
% 0.71/1.02 58 age(sk2,A) != zero | is_aligned(sk2,A). [resolve(1,a,2,a)].
% 0.71/1.02 60 -is_aligned(sk2,A) | is_aligned(sk2,B) | dissimilar(sk2,A,B). [resolve(7,a,2,a)].
% 0.71/1.02 64 -has_immunity(sk2,A) | -has_immunity(sk2,B) | hazard_of_mortality(sk2,A) = hazard_of_mortality(sk2,B). [resolve(12,a,2,a)].
% 0.71/1.02 66 -has_immunity(sk2,A) | has_immunity(sk2,B) | greater(hazard_of_mortality(sk2,B),hazard_of_mortality(sk2,A)). [resolve(13,a,2,a)].
% 0.71/1.02 69 -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) | -dissimilar(A,D,E). [resolve(14,a,4,b)].
% 0.71/1.02 70 age(sk2,A) != zero | -greater(age(sk2,B),sigma) | dissimilar(sk2,A,B). [resolve(16,a,2,a)].
% 0.71/1.02 73 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E). [resolve(17,a,4,b)].
% 0.71/1.02 75 has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -dissimilar(A,D,E). [resolve(18,a,4,b)].
% 0.71/1.02 76 -greater(age(sk2,A),eta) | -has_immunity(sk2,A). [resolve(19,a,20,a)].
% 0.71/1.02 77 -smaller_or_equal(age(sk2,A),eta) | has_immunity(sk2,A). [resolve(21,a,20,a)].
% 0.71/1.02 86 -greater(A,B) | smaller_or_equal(B,A). [resolve(40,b,37,a)].
% 0.71/1.02 87 -smaller_or_equal(A,B) | A = B | greater(B,A). [resolve(41,b,39,a)].
% 0.71/1.02 88 -greater(A,A). [factor(52,a,b)].
% 0.71/1.02 91 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma). [factor(73,b,d)].
% 0.71/1.02 98 -greater(sigma,A) | greater(age(sk2,sk6),A). [resolve(56,a,51,a)].
% 0.71/1.02 106 is_aligned(sk2,sk3). [resolve(58,a,47,a)].
% 0.71/1.02 107 age(sk2,A) != zero | dissimilar(sk2,A,sk6). [resolve(70,b,51,a)].
% 0.71/1.02 109 -has_immunity(sk2,sk5). [ur(76,a,49,a)].
% 0.71/1.02 110 has_immunity(sk2,sk4). [resolve(77,a,48,a)].
% 0.71/1.02 111 -smaller_or_equal(zero,eta) | has_immunity(sk2,sk3). [para(47(a,1),77(a,1))].
% 0.71/1.02 124 smaller_or_equal(zero,eta). [resolve(86,a,46,a)].
% 0.71/1.02 126 has_immunity(sk2,sk3). [back_unit_del(111),unit_del(a,124)].
% 0.71/1.02 127 age(sk2,sk5) = sigma | greater(sigma,age(sk2,sk5)). [resolve(87,a,50,a)].
% 0.71/1.02 137 is_aligned(sk2,A) | dissimilar(sk2,sk3,A). [resolve(106,a,60,a)].
% 0.71/1.02 140 has_immunity(sk2,A) | greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,sk4)). [resolve(110,a,66,a)].
% 0.71/1.02 141 -has_immunity(sk2,A) | hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,A). [resolve(110,a,64,b),flip(b)].
% 0.71/1.02 148 greater(age(sk2,sk6),eta). [resolve(98,a,45,a)].
% 0.71/1.02 158 -has_immunity(sk2,sk6). [ur(76,a,148,a)].
% 0.71/1.02 185 is_aligned(sk2,A) | greater(age(sk2,A),sigma). [resolve(137,b,91,b),rewrite([47(5)]),xx(b)].
% 0.71/1.02 186 dissimilar(sk2,sk3,sk6). [resolve(107,a,47,a)].
% 0.71/1.02 192 -is_aligned(sk2,sk6). [resolve(186,a,53,a),unit_del(a,106)].
% 0.71/1.02 325 age(sk2,sk5) = sigma | -greater(age(sk2,sk5),sigma). [resolve(127,b,52,b)].
% 0.71/1.02 350 greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)). [resolve(140,a,109,a)].
% 0.71/1.02 356 -greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3). [back_unit_del(54),unit_del(b,350)].
% 0.71/1.02 364 hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3). [resolve(141,a,126,a)].
% 0.71/1.02 373 -greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)). [back_rewrite(356),rewrite([364(10)]),xx(b)].
% 0.71/1.02 381 -greater(capability(sk2,sk5),capability(sk2,sk6)). [ur(75,a,158,a,b,109,a,d,373,a,e,186,a)].
% 0.71/1.02 383 -is_aligned(sk2,sk5). [ur(69,b,192,a,c,381,a,d,186,a)].
% 0.71/1.02 391 greater(age(sk2,sk5),sigma). [resolve(383,a,185,a)].
% 0.71/1.02 397 age(sk2,sk5) = sigma. [back_unit_del(325),unit_del(b,391)].
% 0.71/1.02 399 $F. [back_rewrite(391),rewrite([397(3)]),unit_del(a,88)].
% 0.71/1.02
% 0.71/1.02 % SZS output end Refutation
% 0.71/1.02 ============================== end of proof ==========================
% 0.71/1.02
% 0.71/1.02 ============================== STATISTICS ============================
% 0.71/1.02
% 0.71/1.02 Given=160. Generated=1242. Kept=354. proofs=1.
% 0.71/1.02 Usable=152. Sos=150. Demods=3. Limbo=2, Disabled=157. Hints=0.
% 0.71/1.02 Megabytes=0.40.
% 0.71/1.02 User_CPU=0.06, System_CPU=0.00, Wall_clock=0.
% 0.71/1.02
% 0.71/1.02 ============================== end of statistics =====================
% 0.71/1.02
% 0.71/1.02 ============================== end of search =========================
% 0.71/1.02
% 0.71/1.02 THEOREM PROVED
% 0.71/1.02 % SZS status Unsatisfiable
% 0.71/1.02
% 0.71/1.02 Exiting with 1 proof.
% 0.71/1.02
% 0.71/1.02 Process 837 exit (max_proofs) Thu Jun 9 10:52:40 2022
% 0.71/1.02 Prover9 interrupted
%------------------------------------------------------------------------------